Integrating goal programming, Kuhn-Tucker conditions, and penalty function approaches to solve linear bi-level programming problems

Applied Mathematics and Computation

Volumn 195, Issue 2, 2008, Pages 585-590

  Roghanian, E ^a   Aryanezhad, M B ^a   Sadjadi, S J ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Bi level programming; Goal programming; Kuhn Tucker conditions; Penalty function

Indexed keywords

COMPUTATIONAL METHODS; INTEGRATION; NUMERICAL METHODS; PROBLEM SOLVING;

BI LEVEL PROGRAMMING; GOAL PROGRAMMING; KUHN-TUCKER CONDITIONS; MULTI LEVEL PROGRAMS; PENALTY FUNCTIONS;

LINEAR PROGRAMMING;

EID: 37449010325     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.05.004     Document Type: Article

References (4)

1. Shi C., Lu J., and Zhang G. An extended Kuhn-Tucker approach for linear bi-level programming. Applied Mathematics and Computation 162 (2005) 51-63
2. Vicente L.N., and Calamai P.H. Bi-level and multilevel programming: a bibliography review. Journal of Global Optimization 5 3 (1994) 291-306
3. Li H.L. An efficient method for solving linear goal programming problems. Journal of Optimization Theory and Applications 90 2 (1996) 465-469
4. Lv Y., Hu T., Wang G., and Wan Z. A penalty function method based on Kuhn-Tucker condition for solving linear bi-level programming. Applied Mathematics and Computation 188 1 (2007) 808-813